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Tough Problem of JEE Physics | Relative Motion | 3 particles chasing problem!

If anyone thinks this is trivial, find equation of path and acceleration of the particle.

SOLVED EXAMPLE 20 || CHAPTER 3 | HC VERMA | REST AND MOTION | KINEMATICS
Three particles A, B and C are situated at the vertices
of an equilateral triangle ABC of side d at t = 0. Each
of the particles moves with constant speed v. A always
has its velocity along AB, B along BC and C along CA.
At what time will the particles meet each other ?

By symmetry they will meet at the centroid of the triangle. They will meet after time 2d/3v

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